Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 7787, 7790 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7787 and 7790 is 1.
GCF(7787,7790) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7787
13 | 7787 |
599 | 599 |
1 |
Prime factors of 7787 are 13,599. Prime factorization of 7787 in exponential form is:
7787 = 131×5991
Prime Factorization of 7790
2 | 7790 |
5 | 3895 |
19 | 779 |
41 | 41 |
1 |
Prime factors of 7790 are 2,5,19,41. Prime factorization of 7790 in exponential form is:
7790 = 21×51×191×411
∴ So by taking common prime factors GCF of 7787 and 7790 is 1
Factors of 7787
List of positive integer factors of 7787 that divides 7787 without a remainder.
1,13,599,7787
Factors of 7790
List of positive integer factors of 7790 that divides 7790 without a remainder.
1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790
Greatest Common Factor
We found the factors and prime factorization of 7787 and 7790. The biggest common factor number is the GCF number.
So the greatest common factor 7787 and 7790 is 1.
Also check out the Least Common Multiple of 7787 and 7790
(i) The GCF of 7787 and 7790 is associative
GCF of 7787 and 7790 = GCF of 7790 and 7787
1. What is the GCF of 7787 and 7790?
Answer: GCF of 7787 and 7790 is 1.
2. What are the Factors of 7787?
Answer: Factors of 7787 are 1, 13, 599, 7787. There are 4 integers that are factors of 7787. The greatest factor of 7787 is 7787.
3. What are the Factors of 7790?
Answer: Factors of 7790 are 1, 2, 5, 10, 19, 38, 41, 82, 95, 190, 205, 410, 779, 1558, 3895, 7790. There are 16 integers that are factors of 7790. The greatest factor of 7790 is 7790.
4. How to Find the GCF of 7787 and 7790?
Answer:
Greatest Common Factor of 7787 and 7790 = 1
Step 1: Find the prime factorization of 7787
7787 = 13 x 599
Step 2: Find the prime factorization of 7790
7790 = 2 x 5 x 19 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 7787 and 7790 is 1